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Does the following inequality holds for every POSITIVE 'x' ?

  1. Aug 13, 2010 #1
    does the following inequality holds for every POSITIVE 'x' ?

    [tex] e^{-x}-1\le Cx^{1/4+e} [/tex] here 'C' and e are positive constants

    i think that for very very small 'e' the constant must be very BIG but no other hint i find
     
  2. jcsd
  3. Aug 13, 2010 #2

    disregardthat

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    Re: inequality

    Certainly not without additional restrictions on e and C. (You should not use 'e' as a variable name to avoid confusion with e = 2.71...)

    However, if e >= 1, the left hand side is non-positive, so in that case the equation words.
     
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